Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page xiv
... represented by mathematical quantities called tensors , and only these properties will concern us . A list of them is given in Appendix C ; to help put the subject in proper perspective a further list is given there of some other ...
... represented by mathematical quantities called tensors , and only these properties will concern us . A list of them is given in Appendix C ; to help put the subject in proper perspective a further list is given there of some other ...
Page 99
... represented by an axial vector ( Ch . II , § 2 ) , and an axial vector is equivalent to an antisymmetrical second ... represented by the first two terms on the right - hand side of ( 10 ) , from the part that is due to strain ...
... represented by an axial vector ( Ch . II , § 2 ) , and an axial vector is equivalent to an antisymmetrical second ... represented by the first two terms on the right - hand side of ( 10 ) , from the part that is due to strain ...
Page 169
... represented by the ( 3 × 1 ) matrix I. Then , in this direction , the magnitude S of a symmetrical second - rank tensor property given by the ( 3 × 3 ) matrix S is S = ISI . ( § 6 ) A transformation of axes may be represented by the ( 3 ...
... represented by the ( 3 × 1 ) matrix I. Then , in this direction , the magnitude S of a symmetrical second - rank tensor property given by the ( 3 × 3 ) matrix S is S = ISI . ( § 6 ) A transformation of axes may be represented by the ( 3 ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |
EQUILIBRIUM PROPERTIES | 51 |
ELECTRIC POLARIZATION | 68 |
18 other sections not shown
Common terms and phrases
angle anisotropic applied axial vector centre of symmetry Chapter coefficients conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals defined denoted diad axis dielectric dijk direction cosines dummy suffix elastic electric field ellipsoid equation example force given grad H₁ H₂ heat flow Hence hexagonal homogeneous indicatrix isothermal isotropic k₁ magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optical activity orientation orthorhombic Ox₁ P₁ parallel Peltier permittivity perpendicular photoelastic effect piezoelectric effect plane plate polarization principal axes produced pyroelectric pyroelectric effect quantities radius vector referred refractive index relation representation quadric represented right-handed rotation S₁ scalar second-rank tensor set of axes shear strain stress suffix notation surface susceptibility symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law triclinic trigonal uniaxial values x₁ Young's Modulus zero